They are known for their distinctive sound which blends elements of psych-rock, ambient electronics, hip-hop, and Eastern music influences with the vocals of singer Lizzi Bougatsos.

In 1998 the band released one album, A New Music for a New Kitchen on the Slowdime record label, which was described as "deconstructionist anti-music" and "insane, rule-breaking almost-noise",[2] before breaking up.

While on tour, DeGraw and DeWit met vocalist Liz Bougatsos (who joined them some years later), a frontwoman for an experimental New York band called Russia at the time.

As Jo-Anne Green of AllMusic argued, "without her, God's Money would be a haunting journey through an ever-shifting electronic world... With her, the musical experience is far more difficult, as she cuts across the grain of the atmospheres and moods, suggesting the group will never sit comfortably in any niche but its own.

"[4] In 2007, The Social Registry released Retina Riddim DVD/CD, a year later Saint Dymphna followed, marking a shift in the band's sound "...toward employing grime as compositional elements, while relying on more structured electronic workouts in general.

Welch claims she always intended the band to be credited and receive royalties, saying the fact they didn't until the mistake was highlighted was an error on the part of her management.